The typical form of this method that is used for nuclear processes cannot account for two-body problems without the developments of Balian and Vénéroni. Kato found a better bound for energies given using this technique. This method can require the use of a secular determinant whose terms are combinations of the overlap and Hamiltonian matrix elements. Basis sets used in conjunction with an extension of the simplest form of this method, whose Ritz type uses only linear combinations of functions, are often denoted "double-zeta" and are marked with two asterisks if d and f orbitals are included t
The typical form of this method that is used for nuclear processes cannot account for two-body problems without the developments of Balian and Vénéroni. Kato found a better bound for energies given using this technique. This method can require the use of a secular determinant whose terms are combinations of the overlap and Hamiltonian matrix elements. Basis sets used in conjunction with an extension of the simplest form of this method, whose Ritz type uses only linear combinations of functions, are often denoted "double-zeta" and are marked with two asterisks if d and f orbitals are included to account for polarization. Gaunt and Slater showed that the Hartree-Fock method should begin with an invocation of this sort of technique. Parameters optimized according to this statement typically include the linear and exponential coefficients of Gaussians and of Slater-type orbitals, which form a trial wavefunction. For 10 points, name this statement that the exact wavefunction minimizes a certain expression for its corresponding energy.
The typical form of this method that is used for nuclear processes cannot account for two-body problems without the developments of Balian and Vénéroni.
{variational principle} [or {variational} method]